“Synchronization and asymptotic dynamics of mechanical systems: an introduction”
Wednesday 9 June 2021 h. 14:30 - Zoom - Sara Galasso (Dipartimento di Matematica “Tullio Levi-Civita”)
Synchronization is a fascinating and eye-catching phenomenon, which spontaneously emerges from the collective behaviour of a huge variety of interacting systems. Examples permeate science, from fireflies to metronomes, from neurons to celestial bodies.
In this seminar we shall focus on mechanical systems, having in mind, in particular, systems of coupled pendula. To construct a physical-mathematical model able to describe synchronicity patterns in their evolution, classical tools from dynamical systems theory are essential. We will therefore recall the basic notions of invariant manifold and stability, as well as some results that will allow us to investigate, at an introductory level, the long-time asymptotic behaviour.
Along with the theory, we will provide examples and examine simple models which should help us visualize some fundamental mechanisms underlying synchronization.
The video of the seminar will appear shortly afterwards in this Mediaspace channel.